Atomic StructureHard
Question
The wavelengths of the first Lyman lines of hydrogen, He+ and Li2+ ions are λ1, λ2, λ3. The ratio of these wavelengths is
Options
A.1: 4: 9
B.9: 4: 1
C.36: 9: 4
D.6: 3: 2
Solution
$\lambda \propto \frac{1}{z^{2}} \Rightarrow \lambda_{H}:\lambda_{He^{+}}:\lambda_{Li^{2 +}} = \frac{1}{1^{2}}:\frac{1}{2^{2}}:\frac{1}{3^{2}} = 36:9:4$
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